Chapter 5.9, Problem 21HP

To determine

To find: The original triangle.

Answer to Problem 21HP

The original triangle is triangle $B$ .

Explanation of Solution

Given information:

The triangle A is similar to triangle B. The measure of sides of triangle A is less than the measure of sides of triangle B.The scale factor is $0.25$ .

Calculation:

Since, triangle A is similar to triangle B. the corresponding sides of the triangles will be in same ratio.

Since the scale factor is $0.25$ , perimeter can be expressed as,

  $\begin{array}{l}\frac{\text{Perimeter of }A}{\text{perimeter of }B}=0.25\\ \text{Perimeter of }A=0.25\left(\text{perimeter of }B\right)\end{array}$

Since sides of triangle $A$ are smaller than the sides of triangle $B$ the perimeter of triangle $A$ will also be smaller.

Here, the original triangle is triangle $B$ .

Therefore, the, the original triangle is triangle $B$ .